Eduardo has $1.95 in dimes and nickels. if he has 6 more dimes than nickels, how many of each coin does he have?

The solution to this system is (4, 1/6).

Step-by-step explanation:

Please separate these two equations for clarity.  I like to write them in column format:

2.5y + 3x = 27

5x – 2.5y = 5

8x           = 32, and x = 4.

Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.

Then 20 - 2.5y = 5, or 15 = 2.5y.  Solving for y, we get y = 1/6.

The solution to this system is thus (4, 1/6).